Finding the Third Proportional to 57,999 and 77,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,999 : 77,116.50 = 77,116.50 : x
2. Step 2: Convert to fraction form
   57,999/77,116.50 = 77,116.50/x
3. Step 3: Cross multiply
   57,999x = 77,116.50 × 77,116.50
4. Step 4: Simplify right side
   57,999x = 5,946,954,572.25
5. Step 5: Solve for x
   x = 5,946,954,572.25/57,999
6. Step 6: Final answer
   x = 102,535.47